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Finding the Fourth Proportional to 201,853.13, 278,557.32 and 112,429.13

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Solution

The fourth proportional to 201,853.13, 278,557.32 and 112,429.13 is: 155,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,853.13 : 278,557.32 = 112,429.13 : x
  2. Step 2: Convert to fraction form
    201,853.13/278,557.32 = 112,429.13/x
  3. Step 3: Cross multiply
    201,853.13x = 278,557.32 × 112,429.13
  4. Step 4: Simplify right side
    201,853.13x = 31,317,957,142.73
  5. Step 5: Solve for x
    x = 31,317,957,142.73/201,853.13
  6. Step 6: Final answer
    x = 155,152.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.